Foliations invariant by rational maps

C. Favre; J. Vitorio Pereira

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arXiv · 0907.1367

Foliations invariant by rational maps

C. Favre·J. Vitorio Pereira

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Abstract

We give a classification of pairs (F, f) where F is a holomorphic foliation on a projective surface and f is a non-invertible dominant rational map preserving F. We prove that both the map and the foliation are integrable in a suitable sense.

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C. Favre, J. Vitorio Pereira. 2010-03-15. Foliations invariant by rational maps. https://arxiv.org/abs/0907.1367

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